RS Aggarwal 2021-2022 for Class 6 Maths Chapter 5- Fractions
RS Aggarwal Class 6 Math Solution Chapter 5- Fractions Exercise 5G is available here. RS Aggarwal Class 6 Math Solutions are solved by expert teachers in step by step, which help the students to understand easily. RS Aggarwal textbooks are responsible for a strong foundation in Maths. These textbook solutions help students in exams as well as their daily homework routine. The solutions included are easy to understand, and each step in the solution is described to match the students’ understanding.
Rs Aggarwal Class 6 Math Solution Chapter 5- Fractions
Exercise 5G
OBJECTIVE QUESTIONS
Mark(✓) against the correct answer in each of the following:
1. A fraction equivalent to `frac\{3}{5}` is
(a) `frac\{3 + 2}{5 + 2}` (b) `frac\{3 - 2}{5 - 2}`
(c) `frac\{3 × 2}{5 × 2}` (d) none of these
Solution: Correct option is (c) `frac\{3 × 2}{5 × 2}`
`frac\{3 × cancel 2}{5 × cancel 2}` = `frac\{3}{5}`
2. A fraction equivalent to `frac\{8}{12}` is
(a) `frac\{8 + 4}{12 + 4}` (b) `frac\{8 - 4}{12 - 4}`
(c) `frac\{8 ÷ 4}{12 ÷ 4}` (d) none of these
Solution: Correct option is (c) `frac\{8 ÷ 4}{12 ÷ 4}`
Because when we divide or multiply the numerator and denominator by same number, we get an equivalent fraction.
3. A fraction equivalent to `frac\{24}{36}` is
(a) `frac\{3}{4}` (b) `frac\{2}{3}`
(c) `frac\{8}{9}` (d) none of these
Solution: Correct option is (b) `frac\{2}{3}`
Because, `frac\{24}{36}` = `frac\{24 ÷ 12}{36 ÷ 12}` = `frac\{2}{3}`
4. If `frac\{3}{4}` is equivalent to `frac\{x}{20}` then the value of `x` is
(a) 15 (b) 18
(c) 12 (d) none of these
Solution: Correct option is (a) 15
∵ `frac\{3}{4}` = `frac\{x}{20}`
⇒ 4`x` = 3 × 20 (by cross multiply)
⇒ `x` = `frac\{3 × cancel 20^5 }{cancel 4}` = 15
5. If `frac\{45}{60}` is equivalent to `frac\{3}{x}` then the value of x is
(a) 4 (b) 5 (c) 6 (d) 20
Solution: Correct option is (a) 4
∵ `frac\{45}{60}` = `frac\{3}{x}`
⇒ 45 × `x` = 3 × 60 (by cross multiply)
⇒ `x` = `frac\{3 × 60 }{45}`
⇒ `x` = `frac\{cancel 180^4}{cancel 45}`
∴ `x` = 4
6. Which of the following are like fraction?
(a) `frac\{2}{5}` , `frac\{2}{7}` , `frac\{2}{9}` , `frac\{2}{11}`
(b) `frac\{2}{3}` , `frac\{3}{4}` , `frac\{4}{5}` , `frac\{5}{6}`
(c) `frac\{1}{8}` , `frac\{3}{8}` , `frac\{5}{8}` , `frac\{7}{8}`
(d) none of these
Solution: Correct option is (c) `frac\{1}{8}` , `frac\{3}{8}` , `frac\{5}{8}` , `frac\{7}{8}`
Because, Like fractions having same denominator.
7. Which of the following is a proper fraction?
(a) `frac\{3}{5}`
(b) 5
(c) 1`frac\{2}{5}`
(d) none of these
Solution: Correct option is (a) `frac\{3}{5}`
Because, In a proper fraction, the numerator is less than the denominator.
8. Which of the following is a proper fraction?
(a) `frac\{7}{8}`
(b) 1`frac\{7}{8}`
(c) `frac\{8}{7}`
(d) none of these
Solution: Correct option is (a) `frac\{7}{8}`
Because, In a proper fraction, the numerator is less than the denominator.
9. Which of the following statements is correct?
(a) `frac\{3}{4}` < `frac\{3}{5}`
(b) `frac\{3}{4}` > `frac\{3}{5}`
(c) `frac\{3}{4}` and `frac\{3}{5}` cannot be compared
Solution: Correct option is (b) `frac\{3}{4}` > `frac\{3}{5}`
If fractions having same numerator, then one with the smaller denominator is the greater.
10. The smallest of the fraction `frac\{3}{5}`, `frac\{2}{3}`, `frac\{5}{6}`, `frac\{7}{10}` is
(a) `frac\{2}{3}` (b) `frac\{7}{10}`
(c) `frac\{3}{5}` (d) `frac\{5}{6}`
Solution: Correct option is (c) `frac\{3}{5}`
L.C.M. of 5, 3, 6 and 10 = (2 × 3 × 5) = 30
`frac\{3}{5}` = `frac\{3 × 6}{5 × 6}` = `frac\{18}{30}`
`frac\{2}{3}` = `frac\{2 × 10}{3 × 10}` = `frac\{20}{30}`
`frac\{5}{6}` = `frac\{5 × 5}{6 × 5}` = `frac\{25}{30}`
`frac\{7}{10}` = `frac\{7 × 3}{10 × 3}` = `frac\{21}{30}`
Required smallest fraction = `frac\{18}{30}` = `frac\{3}{5}`
11. The largest of the fraction `frac\{4}{5}`, `frac\{4}{7}`, `frac\{4}{9}`, `frac\{4}{11}` is
(a) `frac\{4}{11}` (b) `frac\{4}{5}`
(c) `frac\{4}{7}`, (d) `frac\{4}{9}`
Solution: Correct option is (b) `frac\{4}{5}`
If fractions having same numerator, then one with the smaller denominator is the greater.
12. The smallest of the fraction `frac\{6}{11}`, `frac\{7}{11}`, `frac\{8}{11}`, `frac\{9}{11}` is
(a) `frac\{6}{11}` (b) `frac\{7}{11}`,
(c) `frac\{8}{11}` (d) `frac\{9}{11}`
Solution: Correct option is (a) `frac\{6}{11}`
If fractions having same denominator, then one with the smallest numerator is the smallest fraction.
13. The smallest of the fraction `frac\{3}{4}`, `frac\{5}{6}`, `frac\{7}{12}`, `frac\{2}{3}` is
(a) `frac\{2}{3}` (b) `frac\{3}{4}`,
(c) `frac\{5}{6}` (d) `frac\{7}{12}`
Solution: Correct option is (d) `frac\{7}{12}`
L.C.M. of 4, 6, 12 and 3 = (2 × 2 × 3) = 12
`frac\{3}{4}` = `frac\{3 × 3}{4 × 3}` = `frac\{9}{12}`
`frac\{5}{6}` = `frac\{5 × 2}{6 × 2}` = `frac\{10}{12}`
`frac\{7}{12}` = `frac\{7 × 1}{12 × 1}` = `frac\{7}{12}`
`frac\{2}{3}` = `frac\{2 × 4}{3 × 4}` = `frac\{8}{12}`
Required smallest fraction = `frac\{7}{12}`
14. 4`frac\{3}{5}` = ?
(a) `frac\{17}{5}` (b) `frac\{23}{5}`
(c) `frac\{17}{3}` (d) none of these
Solution: Correct option is (b) `frac\{23}{5}`
4`frac\{3}{5}` = `frac\{4 × 5 + 3}{5}` = `frac\{20 + 3}{5}` = `frac\{23}{5}`
15. `frac\{34}{7}` = ?
(a) 3`frac\{4}{7}` (b) 7`frac\{3}{4}`
(c) 4`frac\{6}{7}` (d) none of these
Solution: Correct option is (b) 4`frac\{6}{7}`
On dividing 34 by 7:
Quotient = 4
Remainder = 6
`frac\{34}{7}` = 4 + `frac\{6}{7}` = 4`frac\{6}{7}`
16. `frac\{5}{8}` + `frac\{1}{8}` = ?
(a) `frac\{3}{8}` (b) `frac\{3}{4}`
(c) 6 (d) none of these
Solution: Correct option is (b) `frac\{3}{4}`
`frac\{5}{8}` + `frac\{1}{8}`
`frac\{5 + 1}{8}`
= `frac\{cancel 6^3}{cancel 8^4}`
= `frac\{3}{4}`
17. `frac\{5}{8}` − `frac\{1}{8}` = ?
(a) `frac\{1}{4}` (b) `frac\{1}{2}`
(c) `frac\{1}{16}` (d) none of these
Solution: Correct option is (b) `frac\{1}{2}`
`frac\{5}{8}` − `frac\{1}{8}`
= `frac\{5 − 1}{8}`
= `frac\{cancel 4^1}{cancel 8^2}`
= `frac\{1}{2}`
18. 3`frac\{3}{4}` − 2`frac\{1}{4}` = ?
(a) 1`frac\{1}{2}` (b) 1`frac\{1}{4}`
(c) `frac\{1}{4}` (d) none of these
Solution: Correct option is (a) 1`frac\{1}{2}`
= 3`frac\{3}{4}` − 2`frac\{1}{4}`
= `frac\{15}{4}` − `frac\{9}{4}`
= `frac\{15 − 9}{4}`
= `frac\{cancel 6^3}{cancel 4^2}`
= `frac\{3}{2}` = 1`frac\{1}{2}`
19. `frac\{5}{6}` + `frac\{2}{3}` − `frac\{4}{9}` = ?
(a) 1`frac\{1}{3}` (b) 1`frac\{1}{6}`
(c) 1`frac\{1}{9}` (d) 1`frac\{1}{18}`
Solution: Correct option is (d) 1`frac\{1}{18}`
= `frac\{5}{6}` + `frac\{2}{3}` − `frac\{4}{9}`
= `frac\{15 + 12 − 8}{18}`
= `frac\{27 − 8}{18}`
= `frac\{19}{18}` = 1`frac\{1}{18}`
20. Which is greater 3`frac\{1}{3}` or `frac\{33}{10}`
(a) 3`frac\{1}{3}` (b) `frac\{33}{10}` (c) both are equal
Solution:
3`frac\{1}{3}` or `frac\{33}{10}`
`frac\{10}{3}` and `frac\{33}{10}`
`frac\{10 × 10}{3 × 10}` and `frac\{33 × 3}{10 × 3}`
`frac\{100}{30}` and `frac\{99}{30}`
Denominators are same and 100 > 99
So, 3`frac\{1}{3}` > `frac\{33}{10}`
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